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A Ranking Model of Proximal and Structural Text RetrievalBased on Region Algebra Katsuya Masuda Department of Computer Science, Graduate School of Information Science and Technology, Uni

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A Ranking Model of Proximal and Structural Text Retrieval

Based on Region Algebra

Katsuya Masuda

Department of Computer Science, Graduate School of Information Science and Technology,

University of Tokyo, Hongo 7-3-1, Bunkyo-ku, Tokyo 113-0033, Japan

kmasuda@is.s.u-tokyo.ac.jp

Abstract

This paper investigates an application of

the ranked region algebra to information

retrieval from large scale but unannotated

documents We automatically annotated

documents with document structure and

semantic tags by using taggers, and

re-trieve information by specifying

struc-ture represented by tags and words using

ranked region algebra We report in detail

what kind of data can be retrieved in the

experiments by this approach

1 Introduction

In the biomedical area, the number of papers is very

large and increases, as it is difficult to search the

in-formation Although keyword-based retrieval

sys-tems can be applied to a database of papers, users

may not get the information they want since the

re-lations between these keywords are not specified If

the document structures, such as “title”, “sentence”,

“author”, and relation between terms are tagged in

the texts, then the retrieval is improved by

ing such structures Models of the retrieval

specify-ing both structures and words are pursued by many

researchers (Chinenyanga and Kushmerick, 2001;

Wolff et al., 1999; Theobald and Weilkum, 2000;

Deutsch et al., 1998; Salminen and Tompa, 1994;

Clarke et al., 1995) However, these models are not

robust unlike keyword-based retrieval, that is, they

retrieve only the exact matches for queries

In the previous research (Masuda et al., 2003), we

proposed a new ranking model that enables proximal

and structural search for structured text This paper investigates an application of the ranked region al-gebra to information retrieval from large scale but unannotated documents We reports in detail what kind of data can be retrieved in the experiments Our approach is to annotate documents with document structures and semantic tags by taggers automati-cally, and to retrieve information by specifying both structures and words using ranked region algebra In this paper, we apply our approach to the OHSUMED test collection (Hersh et al., 1994), which is a public test collection for information retrieval in the field

of biomedical science but not tag-annotated We an-notate OHSUMED by various taggers and retrieve information from the tag-annotated corpus

We have implemented the ranking model in our retrieval engine, and had preliminary experiments to evaluate our model In the experiments, we used the GENIA corpus (Ohta et al., 2002) as a small but manually tag-annotated corpus, and OHSUMED as

a large but automatically tag-annotated corpus The experiments show that our model succeeded in re-trieving the relevant answers that an exact-matching model fails to retrieve because of lack of robustness, and the relevant answers that a non-structured model fails because of lack of structural specification We report how structural specification works and how it doesn’t work in the experiments with OHSUMED

Section 2 explains the region algebra In Section

3, we describe our ranking model for the structured query and texts In Section 4, we show the experi-mental results of this system

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Expression Description

q1¤ q2 G q1¤q2 = Γ({a|a ∈ G q1 ∧ ∃b ∈ G q2.(b < a)})

q16¤ q2 G q16¤q2 = Γ({a|a ∈ G q1∧ 6 ∃b ∈ G q2.(b < a)})

q1¢ q2 G q1¢q2 = Γ({a|a ∈ G q1 ∧ ∃b ∈ G q2.(a < b)})

q16¢ q2 G q16¢q2 = Γ({a|a ∈ G q1∧ 6 ∃b ∈ G q2.(a < b)})

q14 q2 G q14q2 = Γ({c|c < (−∞, ∞) ∧ ∃a ∈ G q1.∃b ∈ G q2.(a < c ∧ b < c)})

q15 q2 G q15q2 = Γ({c|c < (−∞, ∞) ∧ ∃a ∈ G q1.∃b ∈ G q2.(a < c ∨ b < c)})

q13 q2 G q13q2 = Γ({c|c = (p s , p 0

e ) where ∃(p s , p e ) ∈ G q1.∃(p 0

s , p 0

e ) ∈ G q2.(p e < p 0

s )})

Table 1: Operators of the Region algebra

 !"#%$&'

Figure 1: Tree of the query ‘[book] ¤ ([title] ¤

“re-trieval”)’

2 Background: Region algebra

The region algebra (Salminen and Tompa, 1994;

Clarke et al., 1995; Jaakkola and Kilpelainen, 1999)

is a set of operators representing the relation

be-tween the extents (i.e regions in texts), where an

extent is represented by a pair of positions,

begin-ning and ending position Region algebra allows for

the specification of the structure of text

In this paper, we suppose the region algebra

pro-posed in (Clarke et al., 1995) It has seven

tors as shown in Table 1; four containment

opera-tors (¤, 6¤, ¢, 6¢) representing the containment

re-lation between the extents, two combination

oper-ators (4, 5) corresponding to “and” and “or”

op-erator of the boolean model, and ordering opop-erator

(3) representing the order of words or structures in

the texts A containment relation between the

ex-tents is represented as follows: e = (p s , p e) contains

e 0 = (p 0 s , p 0 e ) iff p s ≤ p 0 s ≤ p 0 e ≤ p e(we express this

relation as e = e 0) The result of retrieval is a set of

non-nested extents, that is defined by the following

function Γ over a set of extents S:

Γ(S) = {e|e ∈ S∧ 6 ∃e 0 ∈ S.(e 0 6= e ∧ e 0 < e)}

  

 !"#%$&'

* )"#%$&+

/103254.6 79854;:<

=>8@? 7A8B4C:(<

Figure 2: Subqueries of the query ‘[book] ¤ ([title]

¤ “retrieval”)’

Intuitively, Γ(S) is an operation for finding the

shortest matching A set of non-nested extents

matching query q is expressed as G q For convenience of explanation, we represent a query as a tree structure as shown in Figure 1 (‘[x]’

is a abbreviation of ‘hxi 3 h/xi’) This query

rep-resents ‘Retrieve the books whose title has the word

“retrieval.” ’ The algorithm for finding an exact match of a query works efficiently The time complexity of the algorithm is linear to the size of a query and the size

of documents (Clarke et al., 1995)

3 A Ranking Model for Structured Queries and Texts

This section describes the definition of the relevance between a document and a structured query repre-sented by the region algebra The key idea is that a structured query is decomposed into subqueries, and the relevance of the whole query is represented as a vector of relevance measures of subqueries

Our model assigns a relevance measure of the

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q1 “hbooki” (1,1) (16,16) inverted list

Table 2: Extents that match each subquery in the extent (1, 15) and (16, 30)

hbooki htitlei ranked retrieval h/titlei hchapteri

htitlei tf and idf h/titlei ranked

retrieval h/chapteri h/booki hbooki htitlei structured

text h/titlei hchapteri htitlei search for

structured text h/titlei retrieval h/chapteri h/booki

Figure 3: An example text

structured query as a vector of relevance measures

of the subqueries In other words, the relevance

is defined by the number of portions matched with

subqueries in a document If an extent matches a

subquery of query q, the extent will be somewhat

relevant to q even when the extent does not exactly

match q Figure 2 shows an example of a query and

its subqueries In this example, even when an extent

does not match the whole query exactly, if the

ex-tent matches “retrieval” or ‘[title]¤“retrieval”’, the

extent is considered to be relevant to the query

Sub-queries are formally defined as follows

Definition 1 (Subquery) Let q be a given query

and n1, , n m be the nodes of q Subqueries

q1, , q m of q are the subtrees of q Each q i has

node n i as a root node.

When a relevance σ(q i , d) between a subquery

q i and a document d is given, the relevance of the

whole query is defined as follows

Definition 2 (Relevance of the whole query) Let q

be a given query, d be a document and q1, , q m be

subqueries of q The relevance vector Σ(q, d) of d is

defined as follows:

Σ(q, d) = hσ(q1, d), σ(q2, d), , σ(q m , d)i

A relevance of a subquery should be defined simi-larly to that of keyword-based queries in the tradi-tional ranked retrieval For example, TFIDF, which

is used in our experiments in Section 4, is the most simple and straightforward one, while other rele-vance measures recently proposed (Robertson and Walker, 2000; Fuhr, 1992) can be applied TF of a subquery is calculated using the number of extents matching the subquery, and IDF of a subquery is calculated using the number of documents includ-ing the extents matchinclud-ing the subquery When a text is given as Figure 3 and document collection is

{(1,15),(16,30)}, extents matching each subquery in

each document are shown in Table 2 TF and IDF are calculated using the number of extents matching subquery in Table 2

While we have defined a relevance of the struc-tured query as a vector, we need to arrange the doc-uments according to the relevance vectors In this paper, we first map a vector into a scalar value, and then sort the documents according to this scalar measure

Three methods are introduced for the mapping from the relevance vector to the scalar measure The first one simply works out the sum of the elements

of the relevance vector

Definition 3 (Simple Sum)

ρ sum (q, d) =

m

X

i=1

σ(q i , d)

The second appends a coefficient representing the

rareness of the structures When the query is A ¤ B

or A ¢ B, if the number of extents matching the query is close to the number of extents matching A,

matching the query does not seem to be very

impor-tant because it means that the extents that match A mostly match A ¤ B or A ¢ B The case of the other operators is the same as with ¤ and ¢.

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Num Query

1 ‘([cons] ¤ ([sem] ¤ “G#DNA domain or region”)) 4 (“in” 3 ([cons] ¤ ([sem] ¤ (“G#tissue” 5 “G#body part”))))’

2 ‘([event] ¤ ([obj] ¤ “gene”)) 4 (“in” 3 ([cons] ¤ ([sem] ¤ (“G#tissue” 5 “G#body part”))))’

3 ‘([event]¤([obj]3([sem]¤“G#DNA domain or region”)))4(“in”3([cons]¤([sem]¤(“G#tissue”5“G#body part”))))’

Table 3: Queries submitted in the experiments on the GENIA corpus

Definition 4 (Structure Coefficient) When the

op-erator op is 4, 5 or 3, the structure coefficient of

the query A op B is:

C(A) + C(B)

and when the operator op is ¤ or ¢, the structure

coefficient of the query A op B is:

C(A)

where A and B are the queries and C(A) is the

num-ber of extents that match A in the document

collec-tion.

The scalar measure ρ sc (q i , d) is then defined as

ρ sc (q, d) =

m

X

i=1

sc qi · σ(q i , d)

The third is a combination of the measure of the

query itself and the measure of the subqueries

Al-though we calculate the score of extents by

sub-queries instead of using only the whole query, the

score of subqueries can not be compared with the

score of other subqueries We assume normalized

weight of each subquery and interpolate the weight

of parent node and children nodes

Definition 5 (Interpolated Coefficient) The

inter-polated coefficient of the query q i is recursively

de-fined as follows:

ρ ic (q i , d) = λ · σ(q i , d) + (1 − λ)

P

ci ρ ic (q ci , d) l

where c i is the child of node n i , l is the number of

children of node n i , and 0 ≤ λ ≤ 1.

This formula means that the weight of each node is

defined by a weighted average of the weight of the

query and its subqueries When λ = 1, the weight

of a query is normalized weight of the query When

λ = 0, the weight of a query is calculated from the

weight of the subqueries, i.e the weight is

calcu-lated by only the weight of the words used in the

query

In this section, we show the results of our prelimi-nary experiments of text retrieval using our model

We used the GENIA corpus (Ohta et al., 2002) and the OHSUMED test collection (Hersh et al., 1994)

We compared three retrieval models, i) our model,

ii) exact matching of the region algebra (exact), and iii) not structured model (flat) The queries

submit-ted to our system are shown in Table 3 and 4 In

the flat model, the query was submitted as a query

composed of the words in the queries connected by

the “and” operator (4) For example, in the case of

Query 1, the query submitted to the system in the

flat model is ‘ “G#DNA domain or region” 4 “in”

4 “G#tissue” 4 “G#body part” ’ The system

out-put the ten results that had the highest relevance for each model

In the following experiments, we used a computer that had Pentium III 1.27GHz CPU, 4GB memory The system was implemented in C++ with Berkeley

DB library

4.1 GENIA corpus

The GENIA corpus is an XML document com-posed of paper abstracts in the field of biomedi-cal science The corpus consisted of 1,990 arti-cles, 873,087 words (including tags), and 16,391 sentences In the GENIA corpus, the document

structure was annotated by tags such as “harticlei” and “hsentencei”, technical terms were annotated by

“hconsi”, and events were annotated by “heventi”.

The queries in Table 3 are made by an expert in the field of biomedicine The document was “tence” in this experiments Query 1 retrieves sen-tences including a gene in a tissue Queries 2 and

3 retrieve sentences representing an event having a gene as an object and occurring in a tissue In Query

2, a gene was represented by the word “gene,” and in Query 3, a gene was represented by the annotation

“G#DNA domain or region.”

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4 ‘ “postmenopausal” 4 ([neoplastic] ¤ (“breast” 3 “cancer”)) 4 ([therapeutic] ¤ (“replacement” 3 “therapy”)) ’

55 year old female, postmenopausal

does estrogen replacement therapy cause breast cancer

5 ‘ ([disease]¤(“copd”5(“chronic”3“obstructive”3“pulmonary”3“disease”)))4“theophylline”4([disease]¤“asthma”) ’

50 year old with copd

theophylline uses–chronic and acute asthma

6 ‘ ([neoplastic] ¤ (“lung” 3 “cancer”)) 4 ([therapeutic] ¤ (“radiation” 3 “therapy”)) ’

lung cancer

lung cancer, radiation therapy

7 ‘([disease]¤“pancytopenia”)4([neoplastic]¤(“acute”3“megakaryocytic”3“leukemia”))4(“treatment5“prognosis”)’

70 year old male who presented with pancytopenia

acute megakaryocytic leukemia, treatment and prognosis

8 ‘([disease]¤“hypercalcemia”)4([neoplastic]¤“carcinoma”)4(([therapeutic]¤“gallium”)5(“gallium”3“therapy”))’

57 year old male with hypercalcemia secondary to carcinoma

effectiveness of gallium therapy for hypercalcemia

9 ‘(“lupus”3“nephritis”)4(“thrombotic”3([disease]¤(“thrombocytopenic”3“purpura”))4(“management”5“diagnosis”)’

18 year old with lupus nephritis and thrombotic thrombocytopenic purpura

lupus nephritis, diagnosis and management

10 ‘ ([mesh] ¤ “treatment”) 4 ([disease] ¤ “endocarditis”) 4 ([sentence] ¤ (“oral” 3 “antibiotics”) ’

28 year old male with endocarditis

treatment of endocarditis with oral antibiotics

11 ‘ ([mesh] ¤ “female”) 4 ([disease] ¤ (“anorexia” 4 bulimia)) 4 ([disease] ¤ “complication”) ’

25 year old female with anorexia/bulimia

complications and management of anorexia and bulimia

12 ‘ ([disease] ¤ “diabete”) 4 ([disease] ¤ (“peripheral” 3 “neuropathy”)) 4 ([therapeutic] ¤ “pentoxifylline”) ’

50 year old diabetic with peripheral neuropathy

use of Trental for neuropathy, does it work?

13 ‘ (“cerebral” 3 “edema”) 4 ([disease] ¤ “infection”) 4 (“diagnosis” 5 ([therapeutic] ¤ “treatment”)) ’

22 year old with fever, leukocytosis, increased intracranial pressure, and central herniation

cerebral edema secondary to infection, diagnosis and treatment

14 ‘ ([mesh] ¤ “female”) 4 ([disease] ¤ (“urinary” 3 “tract” 3 “infection”)) 4 ([therapeutic] ¤ “treatment”) ’

23 year old woman dysuria

Urinary Tract Infection, criteria for treatment and admission

15 ‘ ([disease] ¤ (“chronic” 3 “fatigue” 3 “syndrome”)) 4 ([therapeutic] ¤ “treatment”) ’

chronic fatigue syndrome

chronic fatigue syndrome, management and treatment

Table 4: Queries submitted in the experiments on the OHSUMED test collection and original queries of OHSUMED The first line is a query submitted to the system, the second and third lines are the original query

of the OHSUMED test collection, the second is information of patient and the third is request information

For the exact model, ten results were selected

ran-domly from the exactly matched results if the

num-ber of results was more than ten The results are

blind tested, i.e., after we had the results for each

model, we shuffled these results randomly for each

query, and the shuffled results were judged by an

ex-pert in the field of biomedicine whether they were

relevant or not

Table 5 shows the number of the results that were

judged relevant in the top ten results The results

show that our model was superior to the exact and

flat models for all queries Compared to the exact

model, our model output more relevant documents,

since our model allows the partial matching of the

query, which shows the robustness of our model In

addition, our model gives a better result than the flat

model, which means that the structural specification

of the query was effective for finding the relevant documents

Comparing our models, the number of relevant

re-sults using ρ sc was the same as that of ρ sum The

re-sults using ρ ic varied between the results of the flat model and the results of the exact model depending

on the value of λ.

4.2 OHSUMED test collection

The OHSUMED test collection is a document set composed of paper abstracts in the field of

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biomed-Query our model exact flat

(λ = 0.25) (λ = 0.5) (λ = 0.75)

Table 5: (The number of relevant results) / (the number of all results) in top 10 results on the GENIA corpus

(λ = 0.25) (λ = 0.5) (λ = 0.75)

Table 6: (The number of relevant results) / (the number of all results) in top 10 judged results on the

OHSUMED test collection (“all results” are relevance-judged results in the exact model)

ical science The collection has a query set and a

list of relevant documents for each query From 50

to 300 documents are judged whether or not

rele-vant to each query The query consisted of patient

information and information request We used

ti-tle, abstract, and human-assigned MeSH term fields

of documents in the experiments Since the

origi-nal OHSUMED is not annotated with tags, we

an-notated it with tags representing document

struc-tures such as “harticlei” and “hsentencei”, and

an-notated technical terms with tags such as “hdiseasei”

and “htherapeutici” by longest matching of terms of

Unified Medical Language System (UMLS) In the

OHSUMED, relations between technical terms such

as events were not annotated unlike the GENIA

cor-pus The collection consisted of 348,566 articles,

78,207,514 words (including tags), and 1,731,953

sentences

12 of 106 queries of OHSUMED are converted

into structured queries of Region Algebra by an ex-pert in the field of biomedicine These queries are shown in Table 4, and submitted to the system The document was “article” in this experiments For the

exact model, all exact matches of the whole query

were judged Since there are documents that are not judged whether or not relevant to the query in the OHSUMED, we picked up only the documents that are judged

Table 6 shows the number of relevant results in top ten results The results show that our model

suc-ceeded in finding the relevant results that the exact model could not find, and was superior to the flat

model for Query 4, 5, and 6 However, our model

was inferior to the flat model for Query 14 and 15.

Comparing our models, the number of relevant

results using ρ sc and ρ ic was lower than that using

ρ sum

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Query our model exact

Table 7: The retrieval time (sec.) on GENIA corpus

Query our model exact

4 25.13 s 2.17 s

5 24.77 s 3.13 s

6 23.84 s 2.18 s

7 24.00 s 2.70 s

8 27.62 s 3.50 s

9 20.62 s 2.22 s

10 30.72 s 7.60 s

11 25.88 s 4.59 s

12 25.44 s 4.28 s

13 21.94 s 3.30 s

14 28.44 s 4.38 s

15 20.36 s 3.15 s

Table 8: The retrieval time (sec.) on OHSUMED

test collection

4.3 Discussion

In the experiments on OHSUMED, the number of

relevant documents of our model were less than that

of the flat model in some queries We think this is

because i) specifying structures was not effective, ii)

weighting subqueries didn’t work, iii) MeSH terms

embedded in the documents are effective for the flat

model and not effective for our model, iv) or there

are many documents that our system found relevant

but were not judged since the OHSUMED test

col-lection was made using keyword-based retrieval

As for i), structural specification in the queries

is not well-written because the exact model failed

to achieve high precision and its coverage is very

low We used only tags specifying technical terms as

structures in the experiments on OHSUMED This

structure was not so effective because these tags are

annotated by longest match of terms We need to

use the tags representing relations between

techni-cal terms to improve the results Moreover,

struc-tured query used in the experiments may not specify

the request information exactly Therefore we think

converting queries written by natural language into the appropriate structured queries is important, and lead to the question answering using variously tag-annotated texts

As for ii), we think the weighting didn’t work because we simply use frequency of subqueries for weighting To improve the weighting, we have to assign high weight to the structure concerned with user’s intention, that are written in the request in-formation This is shown in the results of Query

9 In Query 9, relevant documents were not

re-trieved except the model using ρ ic, because although the request information was information concerned

“lupus nephritis”, the weight concerned with “lu-pus nephritis” was smaller than that concerned with

“thrombotic” and “thrombocytopenic purpura” in

the models except ρ ic Because the structures con-cerning with user’s intention did not match the most weighted structures in the model, the relevant docu-ments were not retrieved

As for iii), MeSH terms are human-assigned key-words for each documents, and no relation exists across a boundary of each MeSH terms in the

flat model, these MeSH term will improve the re-sults However, in our model, the structure

some-times matches that are not expected For example,

In the case of Query 14, the subquery ‘ “chronic”

3 “fatigue” 3 “syndrome” ’ matched in the field of

MeSH term across a boundary of terms when the MeSH term field was text such as “Affective Disor-ders/*CO; Chronic Disease; Fatigue/*PX; Human;

Syndrome ” because the operator 3 has no

limita-tion of distance

As for iv), the OHSUMED test collection was constructed by attaching the relevance judgement to the documents retrieved by keyword-based retrieval

To show the effectiveness of structured retrieval more clearly, we need test collection with (struc-tured) query and lists of relevant documents, and the tag-annotated documents, for example, tags repre-senting the relation between the technical terms such

as “event”, or taggers that can annotate such tags Table 7 and 8 show that the retrieval time in-creases corresponding to the size of the document collection The system is efficient enough for infor-mation retrieval for a rather small document set like GENIA corpus To apply to the huge databases such

as Web-based applications, we might require a

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con-stant time algorithm, which should be the subject of

future research

5 Conclusions and Future work

We proposed an approach to retrieve information

from documents which are not annotated with any

tags We annotated documents with document

struc-tures and semantic tags by taggers, and retrieved

information by using ranked region algebra We

showed what kind of data can be retrieved from

doc-uments in the experiments

In the discussion, we showed several points about

the ranked retrieval for structured texts Our future

work is to improve a model, corpus etc to improve

the ranked retrieval for structured texts

Acknowledgments

I am grateful to my supervisor, Jun’ichi Tsujii, for

his support and many valuable advices I also thank

to Takashi Ninomiya, Yusuke Miyao for their

valu-able advices, Yoshimasa Tsuruoka for providing me

with a tagger, Tomoko Ohta for making queries, and

anonymous reviewers for their helpful comments

This work is a part of the Kototoi project1supported

by CREST of JST (Japan Science and Technology

Corporation)

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...

3 A Ranking Model for Structured Queries and Texts

This section describes the definition of the relevance between a document and a structured query repre-sented by the region algebra... results of the flat model and the results of the exact model depending

on the value of λ.

4.2 OHSUMED test collection

The OHSUMED test collection is a document... of text retrieval using our model

We used the GENIA corpus (Ohta et al., 2002) and the OHSUMED test collection (Hersh et al., 1994)

We compared three retrieval models, i) our model,

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